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A264837 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 5 and columns nondecreasing modulo 7.

%I A264837 #3 Nov 26 2015 07:22:50
%S A264837 1,1,1,1,2,1,1,2,2,1,1,15,22,8,1,2,68,409,271,46,1,4,401,4800,13814,
%T A264837 2703,182,1,8,2179,147550,1059838,742363,61692,701,2,16,23229,5692511,
%U A264837 243485517
%N A264837 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 5 and columns nondecreasing modulo 7.
%C A264837 Table starts
%C A264837 .1...1.....1......1.......1.........2.......4.....8.16
%C A264837 .1...2.....2.....15......68.......401....2179.23229
%C A264837 .1...2....22....409....4800....147550.5692511
%C A264837 .1...8...271..13814.1059838.243485517
%C A264837 .1..46..2703.742363
%C A264837 .1.182.61692
%C A264837 .1.701
%C A264837 .2
%e A264837 Some solutions for n=4 k=4
%e A264837 ..0..7..8.14....0..8.14..9....7..8..9.14....0..7..9.14...15..0..8.14
%e A264837 ..1..2..4..9....1.12..7..3....0..1.12..2...15..1..3..8...11..1..2..7
%e A264837 .15.10.12..3...15..5..2..4...15.10..6.11....2.12.13..4....5.10.12..9
%e A264837 ..5.11..6.13...10..6.11.13....5..3.13..4...10..5..6.11....6..3.13..4
%Y A264837 Column 1 is A264791.
%Y A264837 Row 1 is A264656.
%K A264837 nonn,tabl
%O A264837 1,5
%A A264837 _R. H. Hardin_, Nov 26 2015